31/27: Difference between revisions

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{{Infobox Interval

| Name = tricesimoprimal ultramajor second, tricesimoprimal inframinor third

| Name = (lesser) tricesimoprimal ultramajor second, (lesser) tricesimoprimal inframinor third

| Color name = 31o2, thiwo 2nd

}}

In [[31-limit]] [[just intonation]], '''31/27''' is either the '''tricesimoprimal ultramajor second''' or '''tricesimoprimal inframinor third'''. It is sharp of the [[9/8|Pythagorean major second (9/8)]] by [[248/243]], and flat of the [[32/27|minor third (32/27)]] by [[32/31]].

In [[31-limit]] [[just intonation]], '''31/27''' is either the '''tricesimoprimal ultramajor second''' or '''tricesimoprimal inframinor third'''. It is sharp of the [[9/8|Pythagorean major second (9/8)]] by [[248/243]], sharp of the [[8/7|septimal major second (8/7)]] by [[217/216]], and flat of the [[32/27|minor third (32/27)]] by [[32/31]]. It differs from the [[23/20|vicesimotertial inframinor third]] by [[621/620]]

== Approximation ==

This interval is very accurately approximated by [[5edo|1\5]]. Five intervals of 31/27 fall short of the octave by [[28697814/28629151]].

== See also ==

* [[54/31]] – its [[octave complement]]

* [[36/31]] – its [[fourth complement]]

[[Category:Second]]

@@ Line 1: / Line 1: @@
 {{Infobox Interval
-| Name = tricesimoprimal ultramajor second, tricesimoprimal inframinor third
+| Name = (lesser) tricesimoprimal ultramajor second, (lesser) tricesimoprimal inframinor third
+| Color name = 31o2, thiwo 2nd
 }}
-In [[31-limit]] [[just intonation]], '''31/27''' is either the '''tricesimoprimal ultramajor second''' or '''tricesimoprimal inframinor third'''. It is sharp of the [[9/8|Pythagorean major second (9/8)]] by [[248/243]], and flat of the [[32/27|minor third (32/27)]] by [[32/31]].
+In [[31-limit]] [[just intonation]], '''31/27''' is either the '''tricesimoprimal ultramajor second''' or '''tricesimoprimal inframinor third'''. It is sharp of the [[9/8|Pythagorean major second (9/8)]] by [[248/243]], sharp of the [[8/7|septimal major second (8/7)]] by [[217/216]], and flat of the [[32/27|minor third (32/27)]] by [[32/31]]. It differs from the [[23/20|vicesimotertial inframinor third]] by [[621/620]]
+== Approximation ==
+This interval is very accurately approximated by [[5edo|1\5]]. Five intervals of 31/27 fall short of the octave by [[28697814/28629151]].
 == See also ==
 * [[54/31]] – its [[octave complement]]
+* [[36/31]] – its [[fourth complement]]
 [[Category:Second]]